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BKT transition and level spectroscopy

Kiyohide Nomura, Atsuhiro Kitazawa

cond-mat.str-elarXiv:cond-mat/0201072

Abstract

Berezinskii-Kosterlitz-Thouless (BKT) transition is one of the instability mechanisms for the Tomonaga-Luttinger liquid. But in the BKT transition, there are logarithmic-correction problems, which make it very difficult to treat BKT transitions numerically. We propose a method, ``level spectroscopy'', to overcome such difficulties, based on the renormalization group analysis and the symmetry consideration.

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